hello all(adsbygoogle = window.adsbygoogle || []).push({});

I found this rather interesting

suppose that a sequence [tex]{x_{n}}[/tex] satisfies

[tex] |x_{n+1}-x_{n}|<\frac{1}{n+1}[/tex] [tex] \forall n\epsilon N[/tex]

how couldnt the sequence [tex]{x_{n}}[/tex] not be cauchy? I tried to think of some examples to disprove it but i didnt achieve anything doing that, please help

thanxs

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cauchy sequences

Loading...

Similar Threads for Cauchy sequences | Date |
---|---|

Cauchy Sequences | Mar 7, 2012 |

The limit of an almost uniformly Cauchy sequence of measurable functions | Feb 15, 2012 |

Cauchy sequence and topological problems | Oct 16, 2011 |

Cauchy Sequences - Complex Analysis | Jun 17, 2011 |

Proving Cauchy Sequence Converges on Real Number Line | Mar 21, 2011 |

**Physics Forums - The Fusion of Science and Community**